This interactive site is excellent in giving practice solving linear equations with one variable. http://www.hellam.net/algebra/linear2.html This interactive site gives practice solving quadratic equations. It uses the quadratic formula, and if you input values for a, b, and c for which the expression under the radical (b^2 - 4ac) is less than 0, the quadratic formula will return a complex number (which is beyond the scope of this course). For our use, make sure b^2 - 4ac is not less than zero, and you will obtain the desired result.http://jblanco_60.tripod.com/ Fermat's last theorem:This is site from the PBS program, "The Proof":http://www.pbs.org/wgbh/nova/proof/ Fermat's last theorem;http://www-history.mcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html
Simplify an algebraic expression.
Multiply binomials mentally.
Expand a binomial using the binomial theorem.
Factor a polynomial.
Evaluate an algebraic expression.
Write spreadsheet expressions in ordinary algebraic notation.
Use a spreadsheet to evaluate (including the replicate command).
Use binomials to answer genetic applications.
Solve equations (both linear and quadratic).
Use a calculator to solve an equation.
Solve linear inequalities.
Solve applied problems; in particular, those involving number, distance, and Pythagorean relationships.
Set up and simplify ratios.
Compare the size of fractions, decimals, and radicals.
Solve proportion problems.
Be able to change forms: fractions/decimals/percents.
Estimate percents.
Solve applied percent problems.
Be able to change forms: fractions/decimals/percents.
Estimate percents.
Solve applied percent problems.
Use problem-solving methods to answer uncategorized questions.
As an IB Learner you are reflective. On your own page of your blog you will need to explain each of these important ideas in your own words:
1. Binomial product (FOIL)
2. Binomial theorem
3. Procedure for factoring trinomials
4. Difference of squares
5. Evaluate an expression
6. Use a spreadsheet
7. Equation properties
8. Zero product rule
9. Quadratic formula
10. Linear inequalities
11. Addition property of inequality
12. Multiplication property of inequality
13. Procedure for problem solving
14. Property of proportions
15. Procedure for solving proportions
16. Change forms: fraction/decimal/percent
17. Be able to estimate answers to percent problems
18. Solve applied percent problems
19. Guidelines for problem solving
Polynomials
Video:
Adding and Subtracting Polynomials (time: 7:47)Multiplying Polynomials (time: 1:53)
Binomial Theorem (time: 9:40)
Al-Khwarizmi:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Al-Khwarizmi.html
Abel:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Abel.html
Reference Topic Sites:
Introduction to polynomials.
http://www.purplemath.com/modules/polydefs.htm
Introduction to multiplying polynomials.
http://www.purplemath.com/modules/polymult.htm
Website discussing polynomials and areas.
http://argyll.epsb.ca/jreed/math9/strand2/2211.htm
Website that provides some practice polynomial terminology, and with working with polynomials.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut25_poly.htm
Website that provides interactive practice with the binomial theorem.
http://www.themathpage.com/aPreCalc/binomial-theorem.htm
An interactive version of Pascal's Triangle.
http://mathforum.org/dr.cgi/pascal.cgi
Factoring
Video:
Factoring a trinomial (time: 2:36)Galois:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Galois.html
Cauchy:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Cauchy.html
Fourier:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Fourier.html
Reference Topic Sites:
Factoring with areas:
http://faculty.prairiestate.edu/skifowit/htdocs/manip/alg_tile.htm
Practice factoring trinomials using FOIL.
http://www.mathwizz.com/algebra/help/help3.htm
Practice factoring difference of squares:
http://www.purplemath.com/modules/specfact.htm
Extra practice in factoring:
http://www.saab.org/mathdrills/factor.cgi
Evaluation, Application & Spreadsheets
Video:
Evaluate (time: 4:26)Hardy:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Hardy.html
Resource Topic Sites:
Evaluation of polynomials. http://www.purplemath.com/modules/evaluate.htm
This interactive site gives practice with Punnett squares. http://biology.clc.uc.edu/courses/bio105/geneprob.htm
Spreadsheet basics: http://mathforum.org/sum95/math_and/spreadsheets/basics.html
One of the most common spreadsheets is Excel (Excel tutorial): http://www.usd.edu/trio/tut/excel/0.html
This cite collects information on spreadsheets with an emphasis of mathematics and statistics education. http://sunsite.univie.ac.at/Spreadsite/spreaded.html
Project ideas using a spreadsheet: http://mathforum.org/sum95/math_and/spreadsheets/intro.html
Equations
Video:
Solve Linear Equations (time: 6:46) Solve Quadratic Equations (time: 12:03)Descartes:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Descartes.html
Fermat:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Fermat.html
Wiles:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Wiles.html
Reference Topic Sites:
This interactive site is excellent in giving practice solving linear equations with one variable.
http://www.hellam.net/algebra/linear2.html
This interactive site gives practice solving quadratic equations. It uses the quadratic formula, and if you input values for a, b, and c for which the expression under the radical (b^2 - 4ac) is less than 0, the quadratic formula will return a complex number (which is beyond the scope of this course). For our use, make sure b^2 - 4ac is not less than zero, and you will obtain the desired result. http://jblanco_60.tripod.com/
Fermat's last theorem: This is site from the PBS program, "The Proof": http://www.pbs.org/wgbh/nova/proof/
Fermat's last theorem; http://www-history.mcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html
Inequalities
Video:
Linear Inequalities (time: 6:25)Reference Topic Sites:
Website discusses solving linear inequalities:http://www.analyzemath.com/Linear_Inequalities/Linear_Inequalities_Tutor.html
Interactive site for practicing solving linear inequalities:
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_OneVariableSolvingInequalities.xm
Algebra in Problem Solving
Video:
Math Strategies (time: 7:37)Hypatia:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Hypatia.html
Bhaskara:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Bhaskara.html
Reference Topic Sites:
Introduction to simple word problems:http://www.algebrahelp.com/lessons/wordproblems/basics/index.htm
Translating word problems:
http://www.purplemath.com/modules/translat.htm
Ratios, Proportions and Problem Solving
Video:
Ratios and Proportions (time: 3:50)Reference Topic Sites:
Practice with ratios.
**http://www.purplemath.com/modules/ratio.htm**
Practice with proportions.
**http://www.purplemath.com/modules/ratio2.htm**
Examples of working with proportions.
http://www.mathleague.com/help/ratio/ratio.htm
Percents
Video:
Fractions/Decimals/Percents (time: 4:59)Resource Topic Sites:
Practice converting between decimals and fractions.
http://cstl.syr.edu/fipse/Decunit/convert/convert.htm
Practice with percents and converting forms.
http://cstl.syr.edu/fipse/Decunit/percent/percent.htm